JEE Advanced Model Paper 14 with solutions for online practice

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Question : 55 of 60

Marks: +1, -0

If n different objects are distributed at random among n +2 persons so that each person canget any number of things (i.e.,0,1,2,..., n things) then the probability that

exactly 2 persons will get none of the objects is
(n+1)!
2(n+2)n−1
exactly 3 persons will get none of the objects is
n+2
‌
C3(n−1)(
n
‌
C2)(n−2)!
(n+2)n
exactly 3 persons will get none of the objects is
n(n−1)2(n+1)
12(n+2)n−1
exactly 2 persons will get none of the objects is
n2(n−1)2
(n+2)n−1

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